Search Results

• Lattice Boltzmann Modeling of Advection-Diffusion-Reaction Equations: Pattern Formation Under Uniform Differential Advection

  S. G. Ayodele, D. Raabe, F. Varnik

  2020-07-31

  41331 4480 Pages:741-756

• High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

  Michel Fournie, Alain Rigal

  2011-09-01

  38270 3892 Pages:994-1019

• A Two-Scale Asymptotic Analysis of a Time-Harmonic Scattering Problem with a Multi Layered Thin Periodic Domain

  Mounir Tlemcani

  2009-06-01

  37137 3952 Pages:758-776

• A Hybrid Finite Element-Laplace Transform Method for the Analysis of Transient Electromagnetic Scattering by an Over-Filled Cavity in the Ground Plane

  Junqi Huang, Aihua W. Wood, Michael J. Havrilla

  2018-03-24

  38000 4556 Pages:126-141

• A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schrödinger Eigenvalue Problem with an Inverse Square Potential

  Shusheng Li, Lueling Jia, Qilong Zhai, Zhimin Zhang

  2026-04-10

  18 13 Pages:263-296

• Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

  Yixiang Dai, Yunzhang Li, Jing Zhang

  2026-01-18

  759 119 Pages:1299-1331

• A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient

  Jinhui Zhou, Yongkui Zou, Boyu Wang

  2026-02-15

  4036 230 Pages:615-634

• A $p$-Adaptive Treecode Solution of the Poisson Equation in the General Domain

  Zixuan Cui, Lei Yang

  2025-09-18

  4509 419 Pages:1331-1354

• An Improved Modified Ghost Fluid Method for Compressible Multi-Medium Fluid Flows

  Xiaotao Zhang, Chengliang Feng, Changsheng Yu, Yibo Wang, Tiegang Liu

  2024-12-02

  15634 1215 Pages:1339-1377

• Error Estimates of Some Numerical Atomic Orbitals in Molecular Simulations

  Huajie Chen, Reinhold Schneider

  2018-04-03

  42115 4726 Pages:125-146

• The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

  Ping Zeng, Guanyu Zhou

  2024-05-06

  28102 2088 Pages:1073-1119

• An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative

  Li Zhou, Yunzhang Li

  2022-01-27

  43687 3311 Pages:516-547

• An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

  Emine Celiker, Ping Lin

  2020-08-27

  47820 3013 Pages:1536-1560

• Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units

  Bo Li, Shanshan Tang, Haijun Yu

  2019-12-07

  52007 3443 Pages:379-411

• Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

  Dianming Hou, Mejdi Azaïez, Chuanju Xu

  2019-08-27

  54228 3706 Pages:1415-1443

• A Conformal Energy-Conserved Method for Maxwell's Equations with Perfectly Matched Layers

  Chaolong Jiang, Jin Cui, Yushun Wang

  2018-09-01

  46140 5275 Pages:84-106

• Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained

  Haifeng Niu, Danping Yang, Jianwei Zhou

  2018-09-17

  45297 3680 Pages:1477-1502

• Optimal Error Estimation of the Modified Ghost Fluid Method

  Liang Xu, Tiegang Liu

  2010-08-01

  38819 3965 Pages:403-426

• Non-Iterative Parallel Schwarz Domain Decomposition Algorithms for a Two-Domain Parabolic Problem

  Minjie Shen, Danping Yang, Haibiao Zheng

  2025-09-18

  4519 348 Pages:1552-1584

• A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

  Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao

  2024-10-29

  17988 1202 Pages:996-1020

• ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

  Wanshan Li, Yile Zhang, Yau Shu Wong, Dong Liang

  2018-04-03

  40530 4942 Pages:94-123

• Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

  Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu

  2020-07-30

  41827 3163 Pages:458-486

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  5421 676 Pages:248-284

• Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

  Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao

  2024-06-14

  28521 2038 Pages:1263-1286

• Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case

  Waixiang Cao, Lueling Jia, Zhimin Zhang

  2023-06-06

  37602 2969 Pages:1466-1508

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32780 3259 Pages:733-763 Open-access

• Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

  Mingze Qin, Ruishu Wang, Qilong Zhai, Ran Zhang

  2023-03-13

  39185 3385 Pages:568-595